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Finding the Third Proportional to 545,468 and 1,166,744

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Solution

The third proportional to 545,468 and 1,166,744 is: 2,495,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,468 : 1,166,744 = 1,166,744 : x
  2. Step 2: Convert to fraction form
    545,468/1,166,744 = 1,166,744/x
  3. Step 3: Cross multiply
    545,468x = 1,166,744 × 1,166,744
  4. Step 4: Simplify right side
    545,468x = 1,361,291,561,536
  5. Step 5: Solve for x
    x = 1,361,291,561,536/545,468
  6. Step 6: Final answer
    x = 2,495,639.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.